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Explore issues in the primary mirror cell design, resonant frequencies, and proposed improvements for enhanced performance in solar telescopes.
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NST PRIMARY MIRROR CELL:ANALYSIS AND SOLUTIONS Leonid Didkovsky BBSO, 02/11/2004
Do we build a Nondifractionlimited Solar Telescope? Are YOU the author? (Who is responsible?)
Should we be concerned? • Why the PM surface RMS = 21 nm (/15 WF RMS for 632.8 nm) was requested? (See Error budget in LD, JK and PG SPIE 5171-47) • Polishing may be stopped at 41 nm RMS. And What? • Figure on polishing support is worse than 33.5 nm RMS; Astigmatism for model. Higher order in life. Add technology errors. • May it be corrected by PM active system? No. - “Independent” sub-apertures; My estimation is 12/6 Zernike modes; - Moments on PM and the problem with the beam; • By an AO? No in the full 3’ FOV; • What to do: to minimize the polishing errors by re-measuring the mirror and recalculating actuators/forces geometry.
1. PM Cell Subsystems / Components • Active Primary Mirror • PM Cell Assembly • Axial and Radial Actuators • Load Cells • Thermal sensors • Entrance Aperture • PM Cell Cover • Air Knives and Cooling System BBSO, 02/05/2004
2. Active Primary Mirror BBSO, 02/05/2004
3. PM Assembly Picture from Bill Duch’s report BBSO, 02/05/2004
4. Axial and Radial Actuators BBSO, 02/05/2004
5. Load Cells Deflection 0.014”/100 lb BBSO, 02/05/2004
6. Major Requirements • PM Surface Quality on short time scale; • Real-Time control system: WFS and Loads; • Mechanical stability (high resonance freq); • PM Surface Quality on long time scale; • Thermal/Position stability for PM Cell; • Mirror seeing (goal:< 1 deg difference); • Dimensions (thickness < 620 mm); • Weight = 1275 kg (including PM); BBSO, 02/05/2004
7. Analysis of PM Cell BBSO, 02/05/2004
7.1. Some static/thermal issues • Connection axial/radial rods to pucks: ± 1 mm tolerance requires about 3 to 6 kg transversal force for radial rod or about 0.6 kg for tangent; • A thermal introduced SE for PM, actuators and Cell is about 3900 nm for 20C cooling. BBSO, 02/05/2004
An Axial (Radial) Rod deformation model 1mm/6kg (short axial) 1mm/0.6 kg (tangent) BBSO, 02/05/2004
Forces map on PM surface for 20C cooling 1 mm tolerance for axial forces will add additional 3-6 kg to shown.
Thermal SE for 20C cooling About 3900 nm PV
7.2. Resonant Frequencies • For 36 axial supports and ideal (without any deflection) PM Cell: First tone is 44.8 Hz; • PM cell has its first natural tone about 66 Hz; • Combined (Real Cell and PM): First tone is less than 35 Hz, what is lower than the whole telescope requirement: 40 Hz. BBSO, 02/05/2004
7.2.1. Mirror & Cell 1st tone BBSO, 02/05/2004
7.2.2. PM & Cell Tip/Tilt 43 Hz BBSO, 02/05/ 2004
7.2.3. PM & Cell Shifts 56 Hz BBSO, 02/05/2004
7.2.4. Mirror & Cell 2nd Axial 92Hz BBSO, 02/05/2004
8. Proposed PM Cell Improvements • Static / Thermal Issues • Special Ball Joints with small backlash; • Resonant Frequencies • Three Hardpoints; • More rigid Platform; • Dimensions (thickness) BBSO, 02/05/2004
8.1. Ball JointsSpherical plain bearing designs (in USA 1-888-753-2000)http://www.skf.com/portal/skf/home/products/ BBSO, 02/05/2004
8.2. Three Hard points Three types of hard points were analyzed: • Three standard axial actuators with 100 lb Load Cell (proposed in “old” design); • Using “harder” Load Cells (1,500 lb instead of 100 lb) at three locations of axial supports; • Using three real hard points (no motion in axial direction). BBSO, 02/05/2004
“Harder” Load Cells: Mode 1,2 (shifts) 56 Hz, 3,4(tip/tilt) 63 Hz, 5 (axial) 69 Hz BBSO, 02/05/2004
Real Hard Points:Modes: 1,2 (shifts) 56 Hz, 3 (torsional) 113 Hz, 4,5 (tip/tilt) 180 Hz, 6 (first axial) 283 Hz BBSO, 02/05/2004
8.3. More Rigid Platform BBSO, 02/05/2004
Rigid platform eigen mode is 192 Hz compare to 66 Hz in the Old one
8.4. PM Resonances vs hard points • PM on standard 36 axial supports shows its first axial tone (mode 1) at 44.8 Hz; • PM on three “harder” points shows its first axial tone (mode 5) at 69 Hz; • PM on three hard points shows its first axial tone (mode 6) at 283 Hz. BBSO, 02/05/2004
8.5. PM & Cell Resonances • PM & Old Cell with 36 Load Cells (100 lb) showed 1st axial tone is less than 35 Hz; • PM & Old Cell with Load Cells (1500 lb) has axial resonant on 40 Hz; • PM & Old Cell with three real hard points has its first axial mode on 47 Hz; • PM & Modified Cell with three hard points showed first axial tone on 135 Hz. BBSO, 02/05/2004
CONCLUSIONS • Static and dynamical analysis of the Proposed preliminary PM Cell Design showed that some of its assemblies/parts may be improved. • Improved design with three hard points and ribbed platform has axial resonance tone about 135 Hz compare to 35 Hz with “Old” platform and no hard points. BBSO, 02/05/2004
ACKNOWLEDGEMENTS • This work has been supported in part by NASA grant NAG5-12782, NSF grant NSF-ATM-0086999 and AFOSR grant F49620-03-1-0271. • Designing of the PM cell was done by Doug Neill and Bill Duch III. • Analysis, modeling and suggestions for PM Cell improvements were prepared by Mansur Iliyasov and Alexey Zverev (Lavochkin Science-Production Associations, Moscow, Russia). BBSO, 02/05/2004